On computing of arbitrary positive integer powers for one type of even order symmetric circulant matrices - II

被引：8

作者：

Rimas, J ^{[1
]}

机构：

[1] Kaunas Univ Technol, Dept Appl Math, Fac Fundamental Sci, LT-51368 Kaunas, Lithuania

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 174卷 / 01期

关键词：

circulant matrices; eigenvalues; eigenvectors; Chebyshev polynomials;

D O I：

10.1016/j.amc.2005.04.102

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is an extension of the work (J. Rimas, On computing of arbitrary positive integer powers for one type of even order symmetric circulant matrices-1, Appl. Math. Comput., in press), in which the general expression of the lth power (I is an element of N) Cor one type of even order symmetric circulant matrices is given. In this new paper we present the complete derivation of this general expression. Expressions of eigenvectors and of the transforming matrix and its inverse are given, too. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：511 / 523

页数：13